Everything Maths Grade 10
CHAPTER^13 Measurements 13.1 Area of a polygon 416 13.2 Right prisms and cylinders 420 13.3 Right pyramids, right cones and sphe ...
13 Measurements Knowing how to calculate the surface area and volume of an object can be useful in many contexts, particularly w ...
DID YOU KNOW? The acre and the hectare are two common measurements used for the area of land. One hectare is about 0,01 square k ...
Exercise 13 – 1: 1.Find the area of each of the polygons below: a) 5 cm 10 cm b) 5 cm 10 cm c) 10 cm d) 5 cm 7 cm 3 cm e) 12 cm ...
h) 15 cm 9 cm 21 cm 16 cm a)Find an expression for the area of this figure in terms ofzand. The circle has a radius of 3 z 2. ...
13.2 Right prisms and cylinders EMA7M DEFINITION: Right prism A right prism is a geometric solid that has a polygon as its base ...
Below are examples of right prisms and a cylinder that have been unfolded into nets: Rectangular prism A rectangular prism unfol ...
VISIT: This video explains how we can unfold solids into nets. See video:2GS2atwww.everythingmaths.co.za Worked example 2: Findi ...
Worked example 3: Finding the surface area of a triangular prism QUESTION Find the surface area of the following triangular pris ...
x^2 = 3^2 + ( 8 2 ) 2 x^2 = 3^2 + 4^2 = 25 )x=5 cm )perimeter of triangle= 5 + 5 + 8 =18 cm )area of large rectangle=perimeter o ...
SOLUTION Step 1: Sketch and label the net of the cylinder 10 cm 30 cm Step 2: Find the area of the different shapes in the net a ...
b) 9 11 p 7 32 c) 2 cm 5 cm d) 5 cm 10 cm e) 5 5 11 426 13.2. Right prisms and cylinders ...
f) 20 cm 10 cm 5 cm 2.If a litre of paint covers an area of 2 m^2 , how much paint does a painter need to cover: a)a rectangular ...
Rectangular prism l h b Volume =area of baseheight =area of rectangleheight =lbh Triangular prism H b h Volume =area of base ...
Step 2: Multiply the area of the base by the height of the solid to find the volume volume=area of baseheight = 9 3 =27 cm^3 S ...
Step 2: Multiply the area of the base by the height of the solid to find the volume volume=area of baseheight = 1 2 bhH = 40 ...
Exercise 13 – 3: 1.Calculate the volumes of the following prisms (correct to 1 decimal place): a) 6 cm 10 cm 7 cm b) 20 cm 10 cm ...
12 11 8 4.The picture below shows a cylinder. The height of the cylinder is 11 units; the radius of the cylinder is r=4 units. D ...
Surface area of pyramids, cones and spheres EMA7R Square pyramid b hs Surface area =area of base+ area of triangular sides =b^2 ...
Worked example 8: Finding the surface area of a triangular pyramid QUESTION Find the surface area of the following triangular py ...
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